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Simplifying 7 + 6(a + 5) = -3 + 4(4a + -5) Reorder the terms: 7 + 6(5 + a) = -3 + 4(4a + -5) 7 + (5 * 6 + a * 6) = -3 + 4(4a + -5) 7 + (30 + 6a) = -3 + 4(4a + -5) Combine like terms: 7 + 30 = 37 37 + 6a = -3 + 4(4a + -5) Reorder the terms: 37 + 6a = -3 + 4(-5 + 4a) 37 + 6a = -3 + (-5 * 4 + 4a * 4) 37 + 6a = -3 + (-20 + 16a) Combine like terms: -3 + -20 = -23 37 + 6a = -23 + 16a Solving 37 + 6a = -23 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 37 + 6a + -16a = -23 + 16a + -16a Combine like terms: 6a + -16a = -10a 37 + -10a = -23 + 16a + -16a Combine like terms: 16a + -16a = 0 37 + -10a = -23 + 0 37 + -10a = -23 Add '-37' to each side of the equation. 37 + -37 + -10a = -23 + -37 Combine like terms: 37 + -37 = 0 0 + -10a = -23 + -37 -10a = -23 + -37 Combine like terms: -23 + -37 = -60 -10a = -60 Divide each side by '-10'. a = 6 Simplifying a = 6
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