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Simplifying 10(3a + -8) + 2(-2a + -3) = 0 Reorder the terms: 10(-8 + 3a) + 2(-2a + -3) = 0 (-8 * 10 + 3a * 10) + 2(-2a + -3) = 0 (-80 + 30a) + 2(-2a + -3) = 0 Reorder the terms: -80 + 30a + 2(-3 + -2a) = 0 -80 + 30a + (-3 * 2 + -2a * 2) = 0 -80 + 30a + (-6 + -4a) = 0 Reorder the terms: -80 + -6 + 30a + -4a = 0 Combine like terms: -80 + -6 = -86 -86 + 30a + -4a = 0 Combine like terms: 30a + -4a = 26a -86 + 26a = 0 Solving -86 + 26a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + 26a = 0 + 86 Combine like terms: -86 + 86 = 0 0 + 26a = 0 + 86 26a = 0 + 86 Combine like terms: 0 + 86 = 86 26a = 86 Divide each side by '26'. a = 3.307692308 Simplifying a = 3.307692308
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