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Simplifying 6(p + -6) + -4(1 + 7p) = 70 Reorder the terms: 6(-6 + p) + -4(1 + 7p) = 70 (-6 * 6 + p * 6) + -4(1 + 7p) = 70 (-36 + 6p) + -4(1 + 7p) = 70 -36 + 6p + (1 * -4 + 7p * -4) = 70 -36 + 6p + (-4 + -28p) = 70 Reorder the terms: -36 + -4 + 6p + -28p = 70 Combine like terms: -36 + -4 = -40 -40 + 6p + -28p = 70 Combine like terms: 6p + -28p = -22p -40 + -22p = 70 Solving -40 + -22p = 70 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -22p = 70 + 40 Combine like terms: -40 + 40 = 0 0 + -22p = 70 + 40 -22p = 70 + 40 Combine like terms: 70 + 40 = 110 -22p = 110 Divide each side by '-22'. p = -5 Simplifying p = -5
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