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Simplifying 8(-6 + -1p) + -6 = 5p + -8(p + 8) (-6 * 8 + -1p * 8) + -6 = 5p + -8(p + 8) (-48 + -8p) + -6 = 5p + -8(p + 8) Reorder the terms: -48 + -6 + -8p = 5p + -8(p + 8) Combine like terms: -48 + -6 = -54 -54 + -8p = 5p + -8(p + 8) Reorder the terms: -54 + -8p = 5p + -8(8 + p) -54 + -8p = 5p + (8 * -8 + p * -8) -54 + -8p = 5p + (-64 + -8p) Reorder the terms: -54 + -8p = -64 + 5p + -8p Combine like terms: 5p + -8p = -3p -54 + -8p = -64 + -3p Solving -54 + -8p = -64 + -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. -54 + -8p + 3p = -64 + -3p + 3p Combine like terms: -8p + 3p = -5p -54 + -5p = -64 + -3p + 3p Combine like terms: -3p + 3p = 0 -54 + -5p = -64 + 0 -54 + -5p = -64 Add '54' to each side of the equation. -54 + 54 + -5p = -64 + 54 Combine like terms: -54 + 54 = 0 0 + -5p = -64 + 54 -5p = -64 + 54 Combine like terms: -64 + 54 = -10 -5p = -10 Divide each side by '-5'. p = 2 Simplifying p = 2
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