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Simplifying -0.8(a + 0.5) = -1.4(a + 5) Reorder the terms: -0.8(0.5 + a) = -1.4(a + 5) (0.5 * -0.8 + a * -0.8) = -1.4(a + 5) (-0.4 + -0.8a) = -1.4(a + 5) Reorder the terms: -0.4 + -0.8a = -1.4(5 + a) -0.4 + -0.8a = (5 * -1.4 + a * -1.4) -0.4 + -0.8a = (-7 + -1.4a) Solving -0.4 + -0.8a = -7 + -1.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.4a' to each side of the equation. -0.4 + -0.8a + 1.4a = -7 + -1.4a + 1.4a Combine like terms: -0.8a + 1.4a = 0.6a -0.4 + 0.6a = -7 + -1.4a + 1.4a Combine like terms: -1.4a + 1.4a = 0.0 -0.4 + 0.6a = -7 + 0.0 -0.4 + 0.6a = -7 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.6a = -7 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.6a = -7 + 0.4 0.6a = -7 + 0.4 Combine like terms: -7 + 0.4 = -6.6 0.6a = -6.6 Divide each side by '0.6'. a = -11 Simplifying a = -11
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