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Simplifying 4(-5p + 1) = -3[-4p + -2(p + -2)] Reorder the terms: 4(1 + -5p) = -3[-4p + -2(p + -2)] (1 * 4 + -5p * 4) = -3[-4p + -2(p + -2)] (4 + -20p) = -3[-4p + -2(p + -2)] Reorder the terms: 4 + -20p = -3[-4p + -2(-2 + p)] 4 + -20p = -3[-4p + (-2 * -2 + p * -2)] 4 + -20p = -3[-4p + (4 + -2p)] Reorder the terms: 4 + -20p = -3[4 + -4p + -2p] Combine like terms: -4p + -2p = -6p 4 + -20p = -3[4 + -6p] 4 + -20p = [4 * -3 + -6p * -3] 4 + -20p = [-12 + 18p] Solving 4 + -20p = -12 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. 4 + -20p + -18p = -12 + 18p + -18p Combine like terms: -20p + -18p = -38p 4 + -38p = -12 + 18p + -18p Combine like terms: 18p + -18p = 0 4 + -38p = -12 + 0 4 + -38p = -12 Add '-4' to each side of the equation. 4 + -4 + -38p = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -38p = -12 + -4 -38p = -12 + -4 Combine like terms: -12 + -4 = -16 -38p = -16 Divide each side by '-38'. p = 0.4210526316 Simplifying p = 0.4210526316
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