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Simplifying 8 + -3(p) = 4(p + -3) + 6 Reorder the terms: 8 + -3p = 4(-3 + p) + 6 8 + -3p = (-3 * 4 + p * 4) + 6 8 + -3p = (-12 + 4p) + 6 Reorder the terms: 8 + -3p = -12 + 6 + 4p Combine like terms: -12 + 6 = -6 8 + -3p = -6 + 4p Solving 8 + -3p = -6 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 8 + -3p + -4p = -6 + 4p + -4p Combine like terms: -3p + -4p = -7p 8 + -7p = -6 + 4p + -4p Combine like terms: 4p + -4p = 0 8 + -7p = -6 + 0 8 + -7p = -6 Add '-8' to each side of the equation. 8 + -8 + -7p = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7p = -6 + -8 -7p = -6 + -8 Combine like terms: -6 + -8 = -14 -7p = -14 Divide each side by '-7'. p = 2 Simplifying p = 2
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