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Simplifying -5(2p + 3) + -47 = 4(4p + 4) Reorder the terms: -5(3 + 2p) + -47 = 4(4p + 4) (3 * -5 + 2p * -5) + -47 = 4(4p + 4) (-15 + -10p) + -47 = 4(4p + 4) Reorder the terms: -15 + -47 + -10p = 4(4p + 4) Combine like terms: -15 + -47 = -62 -62 + -10p = 4(4p + 4) Reorder the terms: -62 + -10p = 4(4 + 4p) -62 + -10p = (4 * 4 + 4p * 4) -62 + -10p = (16 + 16p) Solving -62 + -10p = 16 + 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. -62 + -10p + -16p = 16 + 16p + -16p Combine like terms: -10p + -16p = -26p -62 + -26p = 16 + 16p + -16p Combine like terms: 16p + -16p = 0 -62 + -26p = 16 + 0 -62 + -26p = 16 Add '62' to each side of the equation. -62 + 62 + -26p = 16 + 62 Combine like terms: -62 + 62 = 0 0 + -26p = 16 + 62 -26p = 16 + 62 Combine like terms: 16 + 62 = 78 -26p = 78 Divide each side by '-26'. p = -3 Simplifying p = -3
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