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Simplifying -4(3p + 4) + -42 = 5(2p + 6) Reorder the terms: -4(4 + 3p) + -42 = 5(2p + 6) (4 * -4 + 3p * -4) + -42 = 5(2p + 6) (-16 + -12p) + -42 = 5(2p + 6) Reorder the terms: -16 + -42 + -12p = 5(2p + 6) Combine like terms: -16 + -42 = -58 -58 + -12p = 5(2p + 6) Reorder the terms: -58 + -12p = 5(6 + 2p) -58 + -12p = (6 * 5 + 2p * 5) -58 + -12p = (30 + 10p) Solving -58 + -12p = 30 + 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. -58 + -12p + -10p = 30 + 10p + -10p Combine like terms: -12p + -10p = -22p -58 + -22p = 30 + 10p + -10p Combine like terms: 10p + -10p = 0 -58 + -22p = 30 + 0 -58 + -22p = 30 Add '58' to each side of the equation. -58 + 58 + -22p = 30 + 58 Combine like terms: -58 + 58 = 0 0 + -22p = 30 + 58 -22p = 30 + 58 Combine like terms: 30 + 58 = 88 -22p = 88 Divide each side by '-22'. p = -4 Simplifying p = -4
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