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Simplifying 4.3 + -1.4(p + -7) = -9.7 Reorder the terms: 4.3 + -1.4(-7 + p) = -9.7 4.3 + (-7 * -1.4 + p * -1.4) = -9.7 4.3 + (9.8 + -1.4p) = -9.7 Combine like terms: 4.3 + 9.8 = 14.1 14.1 + -1.4p = -9.7 Solving 14.1 + -1.4p = -9.7 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14.1' to each side of the equation. 14.1 + -14.1 + -1.4p = -9.7 + -14.1 Combine like terms: 14.1 + -14.1 = 0.0 0.0 + -1.4p = -9.7 + -14.1 -1.4p = -9.7 + -14.1 Combine like terms: -9.7 + -14.1 = -23.8 -1.4p = -23.8 Divide each side by '-1.4'. p = 17 Simplifying p = 17
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