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Simplifying 130 = 0.5(20)(a + 7) Reorder the terms: 130 = 0.5 * 20(7 + a) Multiply 0.5 * 20 130 = 10(7 + a) 130 = (7 * 10 + a * 10) 130 = (70 + 10a) Solving 130 = 70 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 130 + -10a = 70 + 10a + -10a Combine like terms: 10a + -10a = 0 130 + -10a = 70 + 0 130 + -10a = 70 Add '-130' to each side of the equation. 130 + -130 + -10a = 70 + -130 Combine like terms: 130 + -130 = 0 0 + -10a = 70 + -130 -10a = 70 + -130 Combine like terms: 70 + -130 = -60 -10a = -60 Divide each side by '-10'. a = 6 Simplifying a = 6
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