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Simplifying -156 = 4 + 5(3 + 7a) -156 = 4 + (3 * 5 + 7a * 5) -156 = 4 + (15 + 35a) Combine like terms: 4 + 15 = 19 -156 = 19 + 35a Solving -156 = 19 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -156 + -35a = 19 + 35a + -35a Combine like terms: 35a + -35a = 0 -156 + -35a = 19 + 0 -156 + -35a = 19 Add '156' to each side of the equation. -156 + 156 + -35a = 19 + 156 Combine like terms: -156 + 156 = 0 0 + -35a = 19 + 156 -35a = 19 + 156 Combine like terms: 19 + 156 = 175 -35a = 175 Divide each side by '-35'. a = -5 Simplifying a = -5
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