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Simplifying -7(-1 + 39) = 5(3 + -5a) Combine like terms: -1 + 39 = 38 -7(38) = 5(3 + -5a) Multiply -7 * 38 -266 = 5(3 + -5a) -266 = (3 * 5 + -5a * 5) -266 = (15 + -25a) Solving -266 = 15 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. -266 + 25a = 15 + -25a + 25a Combine like terms: -25a + 25a = 0 -266 + 25a = 15 + 0 -266 + 25a = 15 Add '266' to each side of the equation. -266 + 266 + 25a = 15 + 266 Combine like terms: -266 + 266 = 0 0 + 25a = 15 + 266 25a = 15 + 266 Combine like terms: 15 + 266 = 281 25a = 281 Divide each side by '25'. a = 11.24 Simplifying a = 11.24
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