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Simplifying 10(11 + -1t) + 4 = -4(t + -4) + -10 (11 * 10 + -1t * 10) + 4 = -4(t + -4) + -10 (110 + -10t) + 4 = -4(t + -4) + -10 Reorder the terms: 110 + 4 + -10t = -4(t + -4) + -10 Combine like terms: 110 + 4 = 114 114 + -10t = -4(t + -4) + -10 Reorder the terms: 114 + -10t = -4(-4 + t) + -10 114 + -10t = (-4 * -4 + t * -4) + -10 114 + -10t = (16 + -4t) + -10 Reorder the terms: 114 + -10t = 16 + -10 + -4t Combine like terms: 16 + -10 = 6 114 + -10t = 6 + -4t Solving 114 + -10t = 6 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 114 + -10t + 4t = 6 + -4t + 4t Combine like terms: -10t + 4t = -6t 114 + -6t = 6 + -4t + 4t Combine like terms: -4t + 4t = 0 114 + -6t = 6 + 0 114 + -6t = 6 Add '-114' to each side of the equation. 114 + -114 + -6t = 6 + -114 Combine like terms: 114 + -114 = 0 0 + -6t = 6 + -114 -6t = 6 + -114 Combine like terms: 6 + -114 = -108 -6t = -108 Divide each side by '-6'. t = 18 Simplifying t = 18
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