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Simplifying 0.5(12p + 4) = -7p + 4 Reorder the terms: 0.5(4 + 12p) = -7p + 4 (4 * 0.5 + 12p * 0.5) = -7p + 4 (2 + 6p) = -7p + 4 Reorder the terms: 2 + 6p = 4 + -7p Solving 2 + 6p = 4 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 2 + 6p + 7p = 4 + -7p + 7p Combine like terms: 6p + 7p = 13p 2 + 13p = 4 + -7p + 7p Combine like terms: -7p + 7p = 0 2 + 13p = 4 + 0 2 + 13p = 4 Add '-2' to each side of the equation. 2 + -2 + 13p = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 13p = 4 + -2 13p = 4 + -2 Combine like terms: 4 + -2 = 2 13p = 2 Divide each side by '13'. p = 0.1538461538 Simplifying p = 0.1538461538
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