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Simplifying 44(a + -4) = 28(a + 4) Reorder the terms: 44(-4 + a) = 28(a + 4) (-4 * 44 + a * 44) = 28(a + 4) (-176 + 44a) = 28(a + 4) Reorder the terms: -176 + 44a = 28(4 + a) -176 + 44a = (4 * 28 + a * 28) -176 + 44a = (112 + 28a) Solving -176 + 44a = 112 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -176 + 44a + -28a = 112 + 28a + -28a Combine like terms: 44a + -28a = 16a -176 + 16a = 112 + 28a + -28a Combine like terms: 28a + -28a = 0 -176 + 16a = 112 + 0 -176 + 16a = 112 Add '176' to each side of the equation. -176 + 176 + 16a = 112 + 176 Combine like terms: -176 + 176 = 0 0 + 16a = 112 + 176 16a = 112 + 176 Combine like terms: 112 + 176 = 288 16a = 288 Divide each side by '16'. a = 18 Simplifying a = 18
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