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Simplifying -23p + -6(5 + -5p) = 4(p + -3) + -18 -23p + (5 * -6 + -5p * -6) = 4(p + -3) + -18 -23p + (-30 + 30p) = 4(p + -3) + -18 Reorder the terms: -30 + -23p + 30p = 4(p + -3) + -18 Combine like terms: -23p + 30p = 7p -30 + 7p = 4(p + -3) + -18 Reorder the terms: -30 + 7p = 4(-3 + p) + -18 -30 + 7p = (-3 * 4 + p * 4) + -18 -30 + 7p = (-12 + 4p) + -18 Reorder the terms: -30 + 7p = -12 + -18 + 4p Combine like terms: -12 + -18 = -30 -30 + 7p = -30 + 4p Add '30' to each side of the equation. -30 + 30 + 7p = -30 + 30 + 4p Combine like terms: -30 + 30 = 0 0 + 7p = -30 + 30 + 4p 7p = -30 + 30 + 4p Combine like terms: -30 + 30 = 0 7p = 0 + 4p 7p = 4p Solving 7p = 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 7p + -4p = 4p + -4p Combine like terms: 7p + -4p = 3p 3p = 4p + -4p Combine like terms: 4p + -4p = 0 3p = 0 Divide each side by '3'. p = 0 Simplifying p = 0
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