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Simplifying 0.14(14 + -7p) + -2 = -2(0.5p + 3) + 6 (14 * 0.14 + -7p * 0.14) + -2 = -2(0.5p + 3) + 6 (1.96 + -0.98p) + -2 = -2(0.5p + 3) + 6 Reorder the terms: 1.96 + -2 + -0.98p = -2(0.5p + 3) + 6 Combine like terms: 1.96 + -2 = -0.04 -0.04 + -0.98p = -2(0.5p + 3) + 6 Reorder the terms: -0.04 + -0.98p = -2(3 + 0.5p) + 6 -0.04 + -0.98p = (3 * -2 + 0.5p * -2) + 6 -0.04 + -0.98p = (-6 + -1p) + 6 Reorder the terms: -0.04 + -0.98p = -6 + 6 + -1p Combine like terms: -6 + 6 = 0 -0.04 + -0.98p = 0 + -1p -0.04 + -0.98p = -1p Solving -0.04 + -0.98p = -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -0.04 + -0.98p + p = -1p + p Combine like terms: -0.98p + p = 0.02p -0.04 + 0.02p = -1p + p Combine like terms: -1p + p = 0 -0.04 + 0.02p = 0 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.02p = 0 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.02p = 0 + 0.04 0.02p = 0 + 0.04 Combine like terms: 0 + 0.04 = 0.04 0.02p = 0.04 Divide each side by '0.02'. p = 2 Simplifying p = 2
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