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Simplifying 6a + -3a = -4(-5a + -3) + 8(-2a + -2) Combine like terms: 6a + -3a = 3a 3a = -4(-5a + -3) + 8(-2a + -2) Reorder the terms: 3a = -4(-3 + -5a) + 8(-2a + -2) 3a = (-3 * -4 + -5a * -4) + 8(-2a + -2) 3a = (12 + 20a) + 8(-2a + -2) Reorder the terms: 3a = 12 + 20a + 8(-2 + -2a) 3a = 12 + 20a + (-2 * 8 + -2a * 8) 3a = 12 + 20a + (-16 + -16a) Reorder the terms: 3a = 12 + -16 + 20a + -16a Combine like terms: 12 + -16 = -4 3a = -4 + 20a + -16a Combine like terms: 20a + -16a = 4a 3a = -4 + 4a Solving 3a = -4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 3a + -4a = -4 + 4a + -4a Combine like terms: 3a + -4a = -1a -1a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 -1a = -4 + 0 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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