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Simplifying 2(a + -2) + -8 = 5 + -2(a + -4) Reorder the terms: 2(-2 + a) + -8 = 5 + -2(a + -4) (-2 * 2 + a * 2) + -8 = 5 + -2(a + -4) (-4 + 2a) + -8 = 5 + -2(a + -4) Reorder the terms: -4 + -8 + 2a = 5 + -2(a + -4) Combine like terms: -4 + -8 = -12 -12 + 2a = 5 + -2(a + -4) Reorder the terms: -12 + 2a = 5 + -2(-4 + a) -12 + 2a = 5 + (-4 * -2 + a * -2) -12 + 2a = 5 + (8 + -2a) Combine like terms: 5 + 8 = 13 -12 + 2a = 13 + -2a Solving -12 + 2a = 13 + -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 + 2a + 2a = 13 + -2a + 2a Combine like terms: 2a + 2a = 4a -12 + 4a = 13 + -2a + 2a Combine like terms: -2a + 2a = 0 -12 + 4a = 13 + 0 -12 + 4a = 13 Add '12' to each side of the equation. -12 + 12 + 4a = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 4a = 13 + 12 4a = 13 + 12 Combine like terms: 13 + 12 = 25 4a = 25 Divide each side by '4'. a = 6.25 Simplifying a = 6.25
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