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Simplifying -5p + -18 = -5 + 8(-5p + -6) Reorder the terms: -18 + -5p = -5 + 8(-5p + -6) Reorder the terms: -18 + -5p = -5 + 8(-6 + -5p) -18 + -5p = -5 + (-6 * 8 + -5p * 8) -18 + -5p = -5 + (-48 + -40p) Combine like terms: -5 + -48 = -53 -18 + -5p = -53 + -40p Solving -18 + -5p = -53 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. -18 + -5p + 40p = -53 + -40p + 40p Combine like terms: -5p + 40p = 35p -18 + 35p = -53 + -40p + 40p Combine like terms: -40p + 40p = 0 -18 + 35p = -53 + 0 -18 + 35p = -53 Add '18' to each side of the equation. -18 + 18 + 35p = -53 + 18 Combine like terms: -18 + 18 = 0 0 + 35p = -53 + 18 35p = -53 + 18 Combine like terms: -53 + 18 = -35 35p = -35 Divide each side by '35'. p = -1 Simplifying p = -1
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