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Simplifying -0.12 + 3.1p = -1.1(-7p + 2.2) Reorder the terms: -0.12 + 3.1p = -1.1(2.2 + -7p) -0.12 + 3.1p = (2.2 * -1.1 + -7p * -1.1) -0.12 + 3.1p = (-2.42 + 7.7p) Solving -0.12 + 3.1p = -2.42 + 7.7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7.7p' to each side of the equation. -0.12 + 3.1p + -7.7p = -2.42 + 7.7p + -7.7p Combine like terms: 3.1p + -7.7p = -4.6p -0.12 + -4.6p = -2.42 + 7.7p + -7.7p Combine like terms: 7.7p + -7.7p = 0.0 -0.12 + -4.6p = -2.42 + 0.0 -0.12 + -4.6p = -2.42 Add '0.12' to each side of the equation. -0.12 + 0.12 + -4.6p = -2.42 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -4.6p = -2.42 + 0.12 -4.6p = -2.42 + 0.12 Combine like terms: -2.42 + 0.12 = -2.3 -4.6p = -2.3 Divide each side by '-4.6'. p = 0.5 Simplifying p = 0.5
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