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Simplifying -5(2p + 4) + -18 = 4(3p + 7) Reorder the terms: -5(4 + 2p) + -18 = 4(3p + 7) (4 * -5 + 2p * -5) + -18 = 4(3p + 7) (-20 + -10p) + -18 = 4(3p + 7) Reorder the terms: -20 + -18 + -10p = 4(3p + 7) Combine like terms: -20 + -18 = -38 -38 + -10p = 4(3p + 7) Reorder the terms: -38 + -10p = 4(7 + 3p) -38 + -10p = (7 * 4 + 3p * 4) -38 + -10p = (28 + 12p) Solving -38 + -10p = 28 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -38 + -10p + -12p = 28 + 12p + -12p Combine like terms: -10p + -12p = -22p -38 + -22p = 28 + 12p + -12p Combine like terms: 12p + -12p = 0 -38 + -22p = 28 + 0 -38 + -22p = 28 Add '38' to each side of the equation. -38 + 38 + -22p = 28 + 38 Combine like terms: -38 + 38 = 0 0 + -22p = 28 + 38 -22p = 28 + 38 Combine like terms: 28 + 38 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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