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Simplifying 6(a + -5) + 10 = 2(a + -4) Reorder the terms: 6(-5 + a) + 10 = 2(a + -4) (-5 * 6 + a * 6) + 10 = 2(a + -4) (-30 + 6a) + 10 = 2(a + -4) Reorder the terms: -30 + 10 + 6a = 2(a + -4) Combine like terms: -30 + 10 = -20 -20 + 6a = 2(a + -4) Reorder the terms: -20 + 6a = 2(-4 + a) -20 + 6a = (-4 * 2 + a * 2) -20 + 6a = (-8 + 2a) Solving -20 + 6a = -8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -20 + 6a + -2a = -8 + 2a + -2a Combine like terms: 6a + -2a = 4a -20 + 4a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 4a = -8 + 0 -20 + 4a = -8 Add '20' to each side of the equation. -20 + 20 + 4a = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 4a = -8 + 20 4a = -8 + 20 Combine like terms: -8 + 20 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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