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Simplifying 10a + -40 + -7a + -14 = 28a + 112 Reorder the terms: -40 + -14 + 10a + -7a = 28a + 112 Combine like terms: -40 + -14 = -54 -54 + 10a + -7a = 28a + 112 Combine like terms: 10a + -7a = 3a -54 + 3a = 28a + 112 Reorder the terms: -54 + 3a = 112 + 28a Solving -54 + 3a = 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. -54 + 3a + -28a = 112 + 28a + -28a Combine like terms: 3a + -28a = -25a -54 + -25a = 112 + 28a + -28a Combine like terms: 28a + -28a = 0 -54 + -25a = 112 + 0 -54 + -25a = 112 Add '54' to each side of the equation. -54 + 54 + -25a = 112 + 54 Combine like terms: -54 + 54 = 0 0 + -25a = 112 + 54 -25a = 112 + 54 Combine like terms: 112 + 54 = 166 -25a = 166 Divide each side by '-25'. a = -6.64 Simplifying a = -6.64
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