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Simplifying -6(2p + 3) + -10 = 2(5p + 8) Reorder the terms: -6(3 + 2p) + -10 = 2(5p + 8) (3 * -6 + 2p * -6) + -10 = 2(5p + 8) (-18 + -12p) + -10 = 2(5p + 8) Reorder the terms: -18 + -10 + -12p = 2(5p + 8) Combine like terms: -18 + -10 = -28 -28 + -12p = 2(5p + 8) Reorder the terms: -28 + -12p = 2(8 + 5p) -28 + -12p = (8 * 2 + 5p * 2) -28 + -12p = (16 + 10p) Solving -28 + -12p = 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. -28 + -12p + -10p = 16 + 10p + -10p Combine like terms: -12p + -10p = -22p -28 + -22p = 16 + 10p + -10p Combine like terms: 10p + -10p = 0 -28 + -22p = 16 + 0 -28 + -22p = 16 Add '28' to each side of the equation. -28 + 28 + -22p = 16 + 28 Combine like terms: -28 + 28 = 0 0 + -22p = 16 + 28 -22p = 16 + 28 Combine like terms: 16 + 28 = 44 -22p = 44 Divide each side by '-22'. p = -2 Simplifying p = -2
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