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Simplifying -7(2p + 3) + -16 = 3(5p + 7) Reorder the terms: -7(3 + 2p) + -16 = 3(5p + 7) (3 * -7 + 2p * -7) + -16 = 3(5p + 7) (-21 + -14p) + -16 = 3(5p + 7) Reorder the terms: -21 + -16 + -14p = 3(5p + 7) Combine like terms: -21 + -16 = -37 -37 + -14p = 3(5p + 7) Reorder the terms: -37 + -14p = 3(7 + 5p) -37 + -14p = (7 * 3 + 5p * 3) -37 + -14p = (21 + 15p) Solving -37 + -14p = 21 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -37 + -14p + -15p = 21 + 15p + -15p Combine like terms: -14p + -15p = -29p -37 + -29p = 21 + 15p + -15p Combine like terms: 15p + -15p = 0 -37 + -29p = 21 + 0 -37 + -29p = 21 Add '37' to each side of the equation. -37 + 37 + -29p = 21 + 37 Combine like terms: -37 + 37 = 0 0 + -29p = 21 + 37 -29p = 21 + 37 Combine like terms: 21 + 37 = 58 -29p = 58 Divide each side by '-29'. p = -2 Simplifying p = -2
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