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Simplifying 6(t + 8) + -2t = 3t + -19 Reorder the terms: 6(8 + t) + -2t = 3t + -19 (8 * 6 + t * 6) + -2t = 3t + -19 (48 + 6t) + -2t = 3t + -19 Combine like terms: 6t + -2t = 4t 48 + 4t = 3t + -19 Reorder the terms: 48 + 4t = -19 + 3t Solving 48 + 4t = -19 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 48 + 4t + -3t = -19 + 3t + -3t Combine like terms: 4t + -3t = 1t 48 + 1t = -19 + 3t + -3t Combine like terms: 3t + -3t = 0 48 + 1t = -19 + 0 48 + 1t = -19 Add '-48' to each side of the equation. 48 + -48 + 1t = -19 + -48 Combine like terms: 48 + -48 = 0 0 + 1t = -19 + -48 1t = -19 + -48 Combine like terms: -19 + -48 = -67 1t = -67 Divide each side by '1'. t = -67 Simplifying t = -67
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