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Simplifying 6(a + -5) + 16 = 2(a + -5) Reorder the terms: 6(-5 + a) + 16 = 2(a + -5) (-5 * 6 + a * 6) + 16 = 2(a + -5) (-30 + 6a) + 16 = 2(a + -5) Reorder the terms: -30 + 16 + 6a = 2(a + -5) Combine like terms: -30 + 16 = -14 -14 + 6a = 2(a + -5) Reorder the terms: -14 + 6a = 2(-5 + a) -14 + 6a = (-5 * 2 + a * 2) -14 + 6a = (-10 + 2a) Solving -14 + 6a = -10 + 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. -14 + 6a + -2a = -10 + 2a + -2a Combine like terms: 6a + -2a = 4a -14 + 4a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -14 + 4a = -10 + 0 -14 + 4a = -10 Add '14' to each side of the equation. -14 + 14 + 4a = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 4a = -10 + 14 4a = -10 + 14 Combine like terms: -10 + 14 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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