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Simplifying 5(1 + -3a) + 7 = 37 + -8a (1 * 5 + -3a * 5) + 7 = 37 + -8a (5 + -15a) + 7 = 37 + -8a Reorder the terms: 5 + 7 + -15a = 37 + -8a Combine like terms: 5 + 7 = 12 12 + -15a = 37 + -8a Solving 12 + -15a = 37 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 12 + -15a + 8a = 37 + -8a + 8a Combine like terms: -15a + 8a = -7a 12 + -7a = 37 + -8a + 8a Combine like terms: -8a + 8a = 0 12 + -7a = 37 + 0 12 + -7a = 37 Add '-12' to each side of the equation. 12 + -12 + -7a = 37 + -12 Combine like terms: 12 + -12 = 0 0 + -7a = 37 + -12 -7a = 37 + -12 Combine like terms: 37 + -12 = 25 -7a = 25 Divide each side by '-7'. a = -3.571428571 Simplifying a = -3.571428571
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