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Simplifying 3(2a + -4) + -5(7 + -1a) = 0 Reorder the terms: 3(-4 + 2a) + -5(7 + -1a) = 0 (-4 * 3 + 2a * 3) + -5(7 + -1a) = 0 (-12 + 6a) + -5(7 + -1a) = 0 -12 + 6a + (7 * -5 + -1a * -5) = 0 -12 + 6a + (-35 + 5a) = 0 Reorder the terms: -12 + -35 + 6a + 5a = 0 Combine like terms: -12 + -35 = -47 -47 + 6a + 5a = 0 Combine like terms: 6a + 5a = 11a -47 + 11a = 0 Solving -47 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 11a = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 11a = 0 + 47 11a = 0 + 47 Combine like terms: 0 + 47 = 47 11a = 47 Divide each side by '11'. a = 4.272727273 Simplifying a = 4.272727273
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