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Simplifying (4p + 2b) + (18n + -24p) + -2(8m + 2) + -1(40p + a) = 0 Reorder the terms: (2b + 4p) + (18n + -24p) + -2(8m + 2) + -1(40p + a) = 0 Remove parenthesis around (2b + 4p) 2b + 4p + (18n + -24p) + -2(8m + 2) + -1(40p + a) = 0 Remove parenthesis around (18n + -24p) 2b + 4p + 18n + -24p + -2(8m + 2) + -1(40p + a) = 0 Reorder the terms: 2b + 4p + 18n + -24p + -2(2 + 8m) + -1(40p + a) = 0 2b + 4p + 18n + -24p + (2 * -2 + 8m * -2) + -1(40p + a) = 0 2b + 4p + 18n + -24p + (-4 + -16m) + -1(40p + a) = 0 Reorder the terms: 2b + 4p + 18n + -24p + -4 + -16m + -1(a + 40p) = 0 2b + 4p + 18n + -24p + -4 + -16m + (a * -1 + 40p * -1) = 0 2b + 4p + 18n + -24p + -4 + -16m + (-1a + -40p) = 0 Reorder the terms: -4 + -1a + 2b + -16m + 18n + 4p + -24p + -40p = 0 Combine like terms: 4p + -24p = -20p -4 + -1a + 2b + -16m + 18n + -20p + -40p = 0 Combine like terms: -20p + -40p = -60p -4 + -1a + 2b + -16m + 18n + -60p = 0 Solving -4 + -1a + 2b + -16m + 18n + -60p = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1a + 2b + -16m + 18n + 4 + -60p = 0 + 4 Reorder the terms: -4 + 4 + -1a + 2b + -16m + 18n + -60p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1a + 2b + -16m + 18n + -60p = 0 + 4 -1a + 2b + -16m + 18n + -60p = 0 + 4 Combine like terms: 0 + 4 = 4 -1a + 2b + -16m + 18n + -60p = 4 Add '-2b' to each side of the equation. -1a + 2b + -16m + 18n + -2b + -60p = 4 + -2b Reorder the terms: -1a + 2b + -2b + -16m + 18n + -60p = 4 + -2b Combine like terms: 2b + -2b = 0 -1a + 0 + -16m + 18n + -60p = 4 + -2b -1a + -16m + 18n + -60p = 4 + -2b Add '16m' to each side of the equation. -1a + -16m + 18n + 16m + -60p = 4 + -2b + 16m Reorder the terms: -1a + -16m + 16m + 18n + -60p = 4 + -2b + 16m Combine like terms: -16m + 16m = 0 -1a + 0 + 18n + -60p = 4 + -2b + 16m -1a + 18n + -60p = 4 + -2b + 16m Add '-18n' to each side of the equation. -1a + 18n + -18n + -60p = 4 + -2b + 16m + -18n Combine like terms: 18n + -18n = 0 -1a + 0 + -60p = 4 + -2b + 16m + -18n -1a + -60p = 4 + -2b + 16m + -18n Add '60p' to each side of the equation. -1a + -60p + 60p = 4 + -2b + 16m + -18n + 60p Combine like terms: -60p + 60p = 0 -1a + 0 = 4 + -2b + 16m + -18n + 60p -1a = 4 + -2b + 16m + -18n + 60p Divide each side by '-1'. a = -4 + 2b + -16m + 18n + -60p Simplifying a = -4 + 2b + -16m + 18n + -60p
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