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Simplifying -0.7(a + -12) = 0.7(a + -1.5) Reorder the terms: -0.7(-12 + a) = 0.7(a + -1.5) (-12 * -0.7 + a * -0.7) = 0.7(a + -1.5) (8.4 + -0.7a) = 0.7(a + -1.5) Reorder the terms: 8.4 + -0.7a = 0.7(-1.5 + a) 8.4 + -0.7a = (-1.5 * 0.7 + a * 0.7) 8.4 + -0.7a = (-1.05 + 0.7a) Solving 8.4 + -0.7a = -1.05 + 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. 8.4 + -0.7a + -0.7a = -1.05 + 0.7a + -0.7a Combine like terms: -0.7a + -0.7a = -1.4a 8.4 + -1.4a = -1.05 + 0.7a + -0.7a Combine like terms: 0.7a + -0.7a = 0.0 8.4 + -1.4a = -1.05 + 0.0 8.4 + -1.4a = -1.05 Add '-8.4' to each side of the equation. 8.4 + -8.4 + -1.4a = -1.05 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -1.4a = -1.05 + -8.4 -1.4a = -1.05 + -8.4 Combine like terms: -1.05 + -8.4 = -9.45 -1.4a = -9.45 Divide each side by '-1.4'. a = 6.75 Simplifying a = 6.75
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