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Simplifying -4(2p + 2) + -30 = 2(5p + 8) Reorder the terms: -4(2 + 2p) + -30 = 2(5p + 8) (2 * -4 + 2p * -4) + -30 = 2(5p + 8) (-8 + -8p) + -30 = 2(5p + 8) Reorder the terms: -8 + -30 + -8p = 2(5p + 8) Combine like terms: -8 + -30 = -38 -38 + -8p = 2(5p + 8) Reorder the terms: -38 + -8p = 2(8 + 5p) -38 + -8p = (8 * 2 + 5p * 2) -38 + -8p = (16 + 10p) Solving -38 + -8p = 16 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -38 + -8p + -10p = 16 + 10p + -10p Combine like terms: -8p + -10p = -18p -38 + -18p = 16 + 10p + -10p Combine like terms: 10p + -10p = 0 -38 + -18p = 16 + 0 -38 + -18p = 16 Add '38' to each side of the equation. -38 + 38 + -18p = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -18p = 16 + 38 -18p = 16 + 38 Combine like terms: 16 + 38 = 54 -18p = 54 Divide each side by '-18'. p = -3 Simplifying p = -3
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