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Simplifying -0.8(a + -0.5) = 0.7(a + -14) Reorder the terms: -0.8(-0.5 + a) = 0.7(a + -14) (-0.5 * -0.8 + a * -0.8) = 0.7(a + -14) (0.4 + -0.8a) = 0.7(a + -14) Reorder the terms: 0.4 + -0.8a = 0.7(-14 + a) 0.4 + -0.8a = (-14 * 0.7 + a * 0.7) 0.4 + -0.8a = (-9.8 + 0.7a) Solving 0.4 + -0.8a = -9.8 + 0.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.7a' to each side of the equation. 0.4 + -0.8a + -0.7a = -9.8 + 0.7a + -0.7a Combine like terms: -0.8a + -0.7a = -1.5a 0.4 + -1.5a = -9.8 + 0.7a + -0.7a Combine like terms: 0.7a + -0.7a = 0.0 0.4 + -1.5a = -9.8 + 0.0 0.4 + -1.5a = -9.8 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1.5a = -9.8 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1.5a = -9.8 + -0.4 -1.5a = -9.8 + -0.4 Combine like terms: -9.8 + -0.4 = -10.2 -1.5a = -10.2 Divide each side by '-1.5'. a = 6.8 Simplifying a = 6.8
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