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Simplifying 6(a + -8) + 33 = 3(a + -4) Reorder the terms: 6(-8 + a) + 33 = 3(a + -4) (-8 * 6 + a * 6) + 33 = 3(a + -4) (-48 + 6a) + 33 = 3(a + -4) Reorder the terms: -48 + 33 + 6a = 3(a + -4) Combine like terms: -48 + 33 = -15 -15 + 6a = 3(a + -4) Reorder the terms: -15 + 6a = 3(-4 + a) -15 + 6a = (-4 * 3 + a * 3) -15 + 6a = (-12 + 3a) Solving -15 + 6a = -12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -15 + 6a + -3a = -12 + 3a + -3a Combine like terms: 6a + -3a = 3a -15 + 3a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -15 + 3a = -12 + 0 -15 + 3a = -12 Add '15' to each side of the equation. -15 + 15 + 3a = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 3a = -12 + 15 3a = -12 + 15 Combine like terms: -12 + 15 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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