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Simplifying -5(3p + 4) + -18 = 4(4p + 6) Reorder the terms: -5(4 + 3p) + -18 = 4(4p + 6) (4 * -5 + 3p * -5) + -18 = 4(4p + 6) (-20 + -15p) + -18 = 4(4p + 6) Reorder the terms: -20 + -18 + -15p = 4(4p + 6) Combine like terms: -20 + -18 = -38 -38 + -15p = 4(4p + 6) Reorder the terms: -38 + -15p = 4(6 + 4p) -38 + -15p = (6 * 4 + 4p * 4) -38 + -15p = (24 + 16p) Solving -38 + -15p = 24 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -38 + -15p + -16p = 24 + 16p + -16p Combine like terms: -15p + -16p = -31p -38 + -31p = 24 + 16p + -16p Combine like terms: 16p + -16p = 0 -38 + -31p = 24 + 0 -38 + -31p = 24 Add '38' to each side of the equation. -38 + 38 + -31p = 24 + 38 Combine like terms: -38 + 38 = 0 0 + -31p = 24 + 38 -31p = 24 + 38 Combine like terms: 24 + 38 = 62 -31p = 62 Divide each side by '-31'. p = -2 Simplifying p = -2
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