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Simplifying 4p + -6 = 6 + 7(p + 4) Reorder the terms: -6 + 4p = 6 + 7(p + 4) Reorder the terms: -6 + 4p = 6 + 7(4 + p) -6 + 4p = 6 + (4 * 7 + p * 7) -6 + 4p = 6 + (28 + 7p) Combine like terms: 6 + 28 = 34 -6 + 4p = 34 + 7p Solving -6 + 4p = 34 + 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. -6 + 4p + -7p = 34 + 7p + -7p Combine like terms: 4p + -7p = -3p -6 + -3p = 34 + 7p + -7p Combine like terms: 7p + -7p = 0 -6 + -3p = 34 + 0 -6 + -3p = 34 Add '6' to each side of the equation. -6 + 6 + -3p = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -3p = 34 + 6 -3p = 34 + 6 Combine like terms: 34 + 6 = 40 -3p = 40 Divide each side by '-3'. p = -13.33333333 Simplifying p = -13.33333333
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