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Simplifying 10(5 + -10a) + -2 = -343 (5 * 10 + -10a * 10) + -2 = -343 (50 + -100a) + -2 = -343 Reorder the terms: 50 + -2 + -100a = -343 Combine like terms: 50 + -2 = 48 48 + -100a = -343 Solving 48 + -100a = -343 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -100a = -343 + -48 Combine like terms: 48 + -48 = 0 0 + -100a = -343 + -48 -100a = -343 + -48 Combine like terms: -343 + -48 = -391 -100a = -391 Divide each side by '-100'. a = 3.91 Simplifying a = 3.91
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