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