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Simplifying 53 = -3(4 + -2p) + -7(6p + 1) 53 = (4 * -3 + -2p * -3) + -7(6p + 1) 53 = (-12 + 6p) + -7(6p + 1) Reorder the terms: 53 = -12 + 6p + -7(1 + 6p) 53 = -12 + 6p + (1 * -7 + 6p * -7) 53 = -12 + 6p + (-7 + -42p) Reorder the terms: 53 = -12 + -7 + 6p + -42p Combine like terms: -12 + -7 = -19 53 = -19 + 6p + -42p Combine like terms: 6p + -42p = -36p 53 = -19 + -36p Solving 53 = -19 + -36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36p' to each side of the equation. 53 + 36p = -19 + -36p + 36p Combine like terms: -36p + 36p = 0 53 + 36p = -19 + 0 53 + 36p = -19 Add '-53' to each side of the equation. 53 + -53 + 36p = -19 + -53 Combine like terms: 53 + -53 = 0 0 + 36p = -19 + -53 36p = -19 + -53 Combine like terms: -19 + -53 = -72 36p = -72 Divide each side by '36'. p = -2 Simplifying p = -2
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