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Simplifying 16(a + -4) = 13(2a + 4) Reorder the terms: 16(-4 + a) = 13(2a + 4) (-4 * 16 + a * 16) = 13(2a + 4) (-64 + 16a) = 13(2a + 4) Reorder the terms: -64 + 16a = 13(4 + 2a) -64 + 16a = (4 * 13 + 2a * 13) -64 + 16a = (52 + 26a) Solving -64 + 16a = 52 + 26a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26a' to each side of the equation. -64 + 16a + -26a = 52 + 26a + -26a Combine like terms: 16a + -26a = -10a -64 + -10a = 52 + 26a + -26a Combine like terms: 26a + -26a = 0 -64 + -10a = 52 + 0 -64 + -10a = 52 Add '64' to each side of the equation. -64 + 64 + -10a = 52 + 64 Combine like terms: -64 + 64 = 0 0 + -10a = 52 + 64 -10a = 52 + 64 Combine like terms: 52 + 64 = 116 -10a = 116 Divide each side by '-10'. a = -11.6 Simplifying a = -11.6
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