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Simplifying 5(p + 3) * 19 = 3(p + -2) + 6 Reorder the terms: 5(3 + p) * 19 = 3(p + -2) + 6 Reorder the terms for easier multiplication: 5 * 19(3 + p) = 3(p + -2) + 6 Multiply 5 * 19 95(3 + p) = 3(p + -2) + 6 (3 * 95 + p * 95) = 3(p + -2) + 6 (285 + 95p) = 3(p + -2) + 6 Reorder the terms: 285 + 95p = 3(-2 + p) + 6 285 + 95p = (-2 * 3 + p * 3) + 6 285 + 95p = (-6 + 3p) + 6 Reorder the terms: 285 + 95p = -6 + 6 + 3p Combine like terms: -6 + 6 = 0 285 + 95p = 0 + 3p 285 + 95p = 3p Solving 285 + 95p = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 285 + 95p + -3p = 3p + -3p Combine like terms: 95p + -3p = 92p 285 + 92p = 3p + -3p Combine like terms: 3p + -3p = 0 285 + 92p = 0 Add '-285' to each side of the equation. 285 + -285 + 92p = 0 + -285 Combine like terms: 285 + -285 = 0 0 + 92p = 0 + -285 92p = 0 + -285 Combine like terms: 0 + -285 = -285 92p = -285 Divide each side by '92'. p = -3.097826087 Simplifying p = -3.097826087
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