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Simplifying 4(2a + -3) + -5(a + 10) = 0 Reorder the terms: 4(-3 + 2a) + -5(a + 10) = 0 (-3 * 4 + 2a * 4) + -5(a + 10) = 0 (-12 + 8a) + -5(a + 10) = 0 Reorder the terms: -12 + 8a + -5(10 + a) = 0 -12 + 8a + (10 * -5 + a * -5) = 0 -12 + 8a + (-50 + -5a) = 0 Reorder the terms: -12 + -50 + 8a + -5a = 0 Combine like terms: -12 + -50 = -62 -62 + 8a + -5a = 0 Combine like terms: 8a + -5a = 3a -62 + 3a = 0 Solving -62 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 3a = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 3a = 0 + 62 3a = 0 + 62 Combine like terms: 0 + 62 = 62 3a = 62 Divide each side by '3'. a = 20.66666667 Simplifying a = 20.66666667
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