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Simplifying 6(5a + 1) + -30 = 3(2a + -4) Reorder the terms: 6(1 + 5a) + -30 = 3(2a + -4) (1 * 6 + 5a * 6) + -30 = 3(2a + -4) (6 + 30a) + -30 = 3(2a + -4) Reorder the terms: 6 + -30 + 30a = 3(2a + -4) Combine like terms: 6 + -30 = -24 -24 + 30a = 3(2a + -4) Reorder the terms: -24 + 30a = 3(-4 + 2a) -24 + 30a = (-4 * 3 + 2a * 3) -24 + 30a = (-12 + 6a) Solving -24 + 30a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -24 + 30a + -6a = -12 + 6a + -6a Combine like terms: 30a + -6a = 24a -24 + 24a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + 24a = -12 + 0 -24 + 24a = -12 Add '24' to each side of the equation. -24 + 24 + 24a = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 24a = -12 + 24 24a = -12 + 24 Combine like terms: -12 + 24 = 12 24a = 12 Divide each side by '24'. a = 0.5 Simplifying a = 0.5
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