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Simplifying 6(a + -7) + 14 = 2(a + -4) Reorder the terms: 6(-7 + a) + 14 = 2(a + -4) (-7 * 6 + a * 6) + 14 = 2(a + -4) (-42 + 6a) + 14 = 2(a + -4) Reorder the terms: -42 + 14 + 6a = 2(a + -4) Combine like terms: -42 + 14 = -28 -28 + 6a = 2(a + -4) Reorder the terms: -28 + 6a = 2(-4 + a) -28 + 6a = (-4 * 2 + a * 2) -28 + 6a = (-8 + 2a) Solving -28 + 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. -28 + 6a + -2a = -8 + 2a + -2a Combine like terms: 6a + -2a = 4a -28 + 4a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -28 + 4a = -8 + 0 -28 + 4a = -8 Add '28' to each side of the equation. -28 + 28 + 4a = -8 + 28 Combine like terms: -28 + 28 = 0 0 + 4a = -8 + 28 4a = -8 + 28 Combine like terms: -8 + 28 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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