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Simplifying -3p + 13 = -5(3) + 5(2p) Reorder the terms: 13 + -3p = -5(3) + 5(2p) Multiply -5 * 3 13 + -3p = -15 + 5(2p) Remove parenthesis around (2p) 13 + -3p = -15 + 5 * 2p Multiply 5 * 2 13 + -3p = -15 + 10p Solving 13 + -3p = -15 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 13 + -3p + -10p = -15 + 10p + -10p Combine like terms: -3p + -10p = -13p 13 + -13p = -15 + 10p + -10p Combine like terms: 10p + -10p = 0 13 + -13p = -15 + 0 13 + -13p = -15 Add '-13' to each side of the equation. 13 + -13 + -13p = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -13p = -15 + -13 -13p = -15 + -13 Combine like terms: -15 + -13 = -28 -13p = -28 Divide each side by '-13'. p = 2.153846154 Simplifying p = 2.153846154
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