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Simplifying 0.7(4 + 2a) + -0.5(a + -7) = 0 (4 * 0.7 + 2a * 0.7) + -0.5(a + -7) = 0 (2.8 + 1.4a) + -0.5(a + -7) = 0 Reorder the terms: 2.8 + 1.4a + -0.5(-7 + a) = 0 2.8 + 1.4a + (-7 * -0.5 + a * -0.5) = 0 2.8 + 1.4a + (3.5 + -0.5a) = 0 Reorder the terms: 2.8 + 3.5 + 1.4a + -0.5a = 0 Combine like terms: 2.8 + 3.5 = 6.3 6.3 + 1.4a + -0.5a = 0 Combine like terms: 1.4a + -0.5a = 0.9a 6.3 + 0.9a = 0 Solving 6.3 + 0.9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6.3' to each side of the equation. 6.3 + -6.3 + 0.9a = 0 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + 0.9a = 0 + -6.3 0.9a = 0 + -6.3 Combine like terms: 0 + -6.3 = -6.3 0.9a = -6.3 Divide each side by '0.9'. a = -7 Simplifying a = -7
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