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Simplifying -2.5a + 1.7 = -0.9(7a + -4) Reorder the terms: 1.7 + -2.5a = -0.9(7a + -4) Reorder the terms: 1.7 + -2.5a = -0.9(-4 + 7a) 1.7 + -2.5a = (-4 * -0.9 + 7a * -0.9) 1.7 + -2.5a = (3.6 + -6.3a) Solving 1.7 + -2.5a = 3.6 + -6.3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6.3a' to each side of the equation. 1.7 + -2.5a + 6.3a = 3.6 + -6.3a + 6.3a Combine like terms: -2.5a + 6.3a = 3.8a 1.7 + 3.8a = 3.6 + -6.3a + 6.3a Combine like terms: -6.3a + 6.3a = 0.0 1.7 + 3.8a = 3.6 + 0.0 1.7 + 3.8a = 3.6 Add '-1.7' to each side of the equation. 1.7 + -1.7 + 3.8a = 3.6 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + 3.8a = 3.6 + -1.7 3.8a = 3.6 + -1.7 Combine like terms: 3.6 + -1.7 = 1.9 3.8a = 1.9 Divide each side by '3.8'. a = 0.5 Simplifying a = 0.5
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