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Simplifying -6 + -4(2 + -4) = 7(p + -5) Combine like terms: 2 + -4 = -2 -6 + -4(-2) = 7(p + -5) Multiply -4 * -2 -6 + 8 = 7(p + -5) Combine like terms: -6 + 8 = 2 2 = 7(p + -5) Reorder the terms: 2 = 7(-5 + p) 2 = (-5 * 7 + p * 7) 2 = (-35 + 7p) Solving 2 = -35 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 2 + -7p = -35 + 7p + -7p Combine like terms: 7p + -7p = 0 2 + -7p = -35 + 0 2 + -7p = -35 Add '-2' to each side of the equation. 2 + -2 + -7p = -35 + -2 Combine like terms: 2 + -2 = 0 0 + -7p = -35 + -2 -7p = -35 + -2 Combine like terms: -35 + -2 = -37 -7p = -37 Divide each side by '-7'. p = 5.285714286 Simplifying p = 5.285714286
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