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Simplifying 5(2a + -6) + -3(4a + -7) = 0 Reorder the terms: 5(-6 + 2a) + -3(4a + -7) = 0 (-6 * 5 + 2a * 5) + -3(4a + -7) = 0 (-30 + 10a) + -3(4a + -7) = 0 Reorder the terms: -30 + 10a + -3(-7 + 4a) = 0 -30 + 10a + (-7 * -3 + 4a * -3) = 0 -30 + 10a + (21 + -12a) = 0 Reorder the terms: -30 + 21 + 10a + -12a = 0 Combine like terms: -30 + 21 = -9 -9 + 10a + -12a = 0 Combine like terms: 10a + -12a = -2a -9 + -2a = 0 Solving -9 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2a = 0 + 9 -2a = 0 + 9 Combine like terms: 0 + 9 = 9 -2a = 9 Divide each side by '-2'. a = -4.5 Simplifying a = -4.5
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