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Simplifying 4(a + -5) + -15(a + -4) = 6(2a + 8) Reorder the terms: 4(-5 + a) + -15(a + -4) = 6(2a + 8) (-5 * 4 + a * 4) + -15(a + -4) = 6(2a + 8) (-20 + 4a) + -15(a + -4) = 6(2a + 8) Reorder the terms: -20 + 4a + -15(-4 + a) = 6(2a + 8) -20 + 4a + (-4 * -15 + a * -15) = 6(2a + 8) -20 + 4a + (60 + -15a) = 6(2a + 8) Reorder the terms: -20 + 60 + 4a + -15a = 6(2a + 8) Combine like terms: -20 + 60 = 40 40 + 4a + -15a = 6(2a + 8) Combine like terms: 4a + -15a = -11a 40 + -11a = 6(2a + 8) Reorder the terms: 40 + -11a = 6(8 + 2a) 40 + -11a = (8 * 6 + 2a * 6) 40 + -11a = (48 + 12a) Solving 40 + -11a = 48 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 40 + -11a + -12a = 48 + 12a + -12a Combine like terms: -11a + -12a = -23a 40 + -23a = 48 + 12a + -12a Combine like terms: 12a + -12a = 0 40 + -23a = 48 + 0 40 + -23a = 48 Add '-40' to each side of the equation. 40 + -40 + -23a = 48 + -40 Combine like terms: 40 + -40 = 0 0 + -23a = 48 + -40 -23a = 48 + -40 Combine like terms: 48 + -40 = 8 -23a = 8 Divide each side by '-23'. a = -0.347826087 Simplifying a = -0.347826087
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