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Simplifying 14 + -2(3p + 1) = 5x + -1(x + 21) Reorder the terms: 14 + -2(1 + 3p) = 5x + -1(x + 21) 14 + (1 * -2 + 3p * -2) = 5x + -1(x + 21) 14 + (-2 + -6p) = 5x + -1(x + 21) Combine like terms: 14 + -2 = 12 12 + -6p = 5x + -1(x + 21) Reorder the terms: 12 + -6p = 5x + -1(21 + x) 12 + -6p = 5x + (21 * -1 + x * -1) 12 + -6p = 5x + (-21 + -1x) Reorder the terms: 12 + -6p = -21 + 5x + -1x Combine like terms: 5x + -1x = 4x 12 + -6p = -21 + 4x Solving 12 + -6p = -21 + 4x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6p = -21 + -12 + 4x Combine like terms: 12 + -12 = 0 0 + -6p = -21 + -12 + 4x -6p = -21 + -12 + 4x Combine like terms: -21 + -12 = -33 -6p = -33 + 4x Divide each side by '-6'. p = 5.5 + -0.6666666667x Simplifying p = 5.5 + -0.6666666667x
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