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Simplifying 6(a + -8) + 36 = 2(a + -4) Reorder the terms: 6(-8 + a) + 36 = 2(a + -4) (-8 * 6 + a * 6) + 36 = 2(a + -4) (-48 + 6a) + 36 = 2(a + -4) Reorder the terms: -48 + 36 + 6a = 2(a + -4) Combine like terms: -48 + 36 = -12 -12 + 6a = 2(a + -4) Reorder the terms: -12 + 6a = 2(-4 + a) -12 + 6a = (-4 * 2 + a * 2) -12 + 6a = (-8 + 2a) Solving -12 + 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. -12 + 6a + -2a = -8 + 2a + -2a Combine like terms: 6a + -2a = 4a -12 + 4a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 4a = -8 + 0 -12 + 4a = -8 Add '12' to each side of the equation. -12 + 12 + 4a = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 4a = -8 + 12 4a = -8 + 12 Combine like terms: -8 + 12 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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