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Simplifying (2m + -1p + 4) + -1(3m + 1 + 6p) = 0 Reorder the terms: (4 + 2m + -1p) + -1(3m + 1 + 6p) = 0 Remove parenthesis around (4 + 2m + -1p) 4 + 2m + -1p + -1(3m + 1 + 6p) = 0 Reorder the terms: 4 + 2m + -1p + -1(1 + 3m + 6p) = 0 4 + 2m + -1p + (1 * -1 + 3m * -1 + 6p * -1) = 0 4 + 2m + -1p + (-1 + -3m + -6p) = 0 Reorder the terms: 4 + -1 + 2m + -3m + -1p + -6p = 0 Combine like terms: 4 + -1 = 3 3 + 2m + -3m + -1p + -6p = 0 Combine like terms: 2m + -3m = -1m 3 + -1m + -1p + -6p = 0 Combine like terms: -1p + -6p = -7p 3 + -1m + -7p = 0 Solving 3 + -1m + -7p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1m + -3 + -7p = 0 + -3 Reorder the terms: 3 + -3 + -1m + -7p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m + -7p = 0 + -3 -1m + -7p = 0 + -3 Combine like terms: 0 + -3 = -3 -1m + -7p = -3 Add '7p' to each side of the equation. -1m + -7p + 7p = -3 + 7p Combine like terms: -7p + 7p = 0 -1m + 0 = -3 + 7p -1m = -3 + 7p Divide each side by '-1'. m = 3 + -7p Simplifying m = 3 + -7p
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