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Simplifying 6p + -1(5p + 5) = 7(2x + 4) + x Reorder the terms: 6p + -1(5 + 5p) = 7(2x + 4) + x 6p + (5 * -1 + 5p * -1) = 7(2x + 4) + x 6p + (-5 + -5p) = 7(2x + 4) + x Reorder the terms: -5 + 6p + -5p = 7(2x + 4) + x Combine like terms: 6p + -5p = 1p -5 + 1p = 7(2x + 4) + x Reorder the terms: -5 + 1p = 7(4 + 2x) + x -5 + 1p = (4 * 7 + 2x * 7) + x -5 + 1p = (28 + 14x) + x Combine like terms: 14x + x = 15x -5 + 1p = 28 + 15x Solving -5 + 1p = 28 + 15x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1p = 28 + 5 + 15x Combine like terms: -5 + 5 = 0 0 + 1p = 28 + 5 + 15x 1p = 28 + 5 + 15x Combine like terms: 28 + 5 = 33 1p = 33 + 15x Divide each side by '1'. p = 33 + 15x Simplifying p = 33 + 15x
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