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Simplifying 10(2a + -3) + -6(2a + 1) = 0 Reorder the terms: 10(-3 + 2a) + -6(2a + 1) = 0 (-3 * 10 + 2a * 10) + -6(2a + 1) = 0 (-30 + 20a) + -6(2a + 1) = 0 Reorder the terms: -30 + 20a + -6(1 + 2a) = 0 -30 + 20a + (1 * -6 + 2a * -6) = 0 -30 + 20a + (-6 + -12a) = 0 Reorder the terms: -30 + -6 + 20a + -12a = 0 Combine like terms: -30 + -6 = -36 -36 + 20a + -12a = 0 Combine like terms: 20a + -12a = 8a -36 + 8a = 0 Solving -36 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 8a = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 8a = 0 + 36 8a = 0 + 36 Combine like terms: 0 + 36 = 36 8a = 36 Divide each side by '8'. a = 4.5 Simplifying a = 4.5
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