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Simplifying 3(a + -5) + -2(2a + -0.5) + 0.2(a + 2) = 1.3 Reorder the terms: 3(-5 + a) + -2(2a + -0.5) + 0.2(a + 2) = 1.3 (-5 * 3 + a * 3) + -2(2a + -0.5) + 0.2(a + 2) = 1.3 (-15 + 3a) + -2(2a + -0.5) + 0.2(a + 2) = 1.3 Reorder the terms: -15 + 3a + -2(-0.5 + 2a) + 0.2(a + 2) = 1.3 -15 + 3a + (-0.5 * -2 + 2a * -2) + 0.2(a + 2) = 1.3 -15 + 3a + (1 + -4a) + 0.2(a + 2) = 1.3 Reorder the terms: -15 + 3a + 1 + -4a + 0.2(2 + a) = 1.3 -15 + 3a + 1 + -4a + (2 * 0.2 + a * 0.2) = 1.3 -15 + 3a + 1 + -4a + (0.4 + 0.2a) = 1.3 Reorder the terms: -15 + 1 + 0.4 + 3a + -4a + 0.2a = 1.3 Combine like terms: -15 + 1 = -14 -14 + 0.4 + 3a + -4a + 0.2a = 1.3 Combine like terms: -14 + 0.4 = -13.6 -13.6 + 3a + -4a + 0.2a = 1.3 Combine like terms: 3a + -4a = -1a -13.6 + -1a + 0.2a = 1.3 Combine like terms: -1a + 0.2a = -0.8a -13.6 + -0.8a = 1.3 Solving -13.6 + -0.8a = 1.3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13.6' to each side of the equation. -13.6 + 13.6 + -0.8a = 1.3 + 13.6 Combine like terms: -13.6 + 13.6 = 0.0 0.0 + -0.8a = 1.3 + 13.6 -0.8a = 1.3 + 13.6 Combine like terms: 1.3 + 13.6 = 14.9 -0.8a = 14.9 Divide each side by '-0.8'. a = -18.625 Simplifying a = -18.625
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