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Simplifying 208 = 8(4a + -6) Reorder the terms: 208 = 8(-6 + 4a) 208 = (-6 * 8 + 4a * 8) 208 = (-48 + 32a) Solving 208 = -48 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 208 + -32a = -48 + 32a + -32a Combine like terms: 32a + -32a = 0 208 + -32a = -48 + 0 208 + -32a = -48 Add '-208' to each side of the equation. 208 + -208 + -32a = -48 + -208 Combine like terms: 208 + -208 = 0 0 + -32a = -48 + -208 -32a = -48 + -208 Combine like terms: -48 + -208 = -256 -32a = -256 Divide each side by '-32'. a = 8 Simplifying a = 8
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