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Simplifying 6(a + -8) + 16 = 2(a + -4) Reorder the terms: 6(-8 + a) + 16 = 2(a + -4) (-8 * 6 + a * 6) + 16 = 2(a + -4) (-48 + 6a) + 16 = 2(a + -4) Reorder the terms: -48 + 16 + 6a = 2(a + -4) Combine like terms: -48 + 16 = -32 -32 + 6a = 2(a + -4) Reorder the terms: -32 + 6a = 2(-4 + a) -32 + 6a = (-4 * 2 + a * 2) -32 + 6a = (-8 + 2a) Solving -32 + 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. -32 + 6a + -2a = -8 + 2a + -2a Combine like terms: 6a + -2a = 4a -32 + 4a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -32 + 4a = -8 + 0 -32 + 4a = -8 Add '32' to each side of the equation. -32 + 32 + 4a = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 4a = -8 + 32 4a = -8 + 32 Combine like terms: -8 + 32 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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